Evaluate
\left(1-2x\right)\left(2x-3\right)\left(x+3\right)
Expand
-4x^{3}-4x^{2}+21x-9
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\left(x+3-2x^{2}-6x\right)\left(2x-3\right)
Apply the distributive property by multiplying each term of 1-2x by each term of x+3.
\left(-5x+3-2x^{2}\right)\left(2x-3\right)
Combine x and -6x to get -5x.
-10x^{2}+15x+6x-9-4x^{3}+6x^{2}
Apply the distributive property by multiplying each term of -5x+3-2x^{2} by each term of 2x-3.
-10x^{2}+21x-9-4x^{3}+6x^{2}
Combine 15x and 6x to get 21x.
-4x^{2}+21x-9-4x^{3}
Combine -10x^{2} and 6x^{2} to get -4x^{2}.
\left(x+3-2x^{2}-6x\right)\left(2x-3\right)
Apply the distributive property by multiplying each term of 1-2x by each term of x+3.
\left(-5x+3-2x^{2}\right)\left(2x-3\right)
Combine x and -6x to get -5x.
-10x^{2}+15x+6x-9-4x^{3}+6x^{2}
Apply the distributive property by multiplying each term of -5x+3-2x^{2} by each term of 2x-3.
-10x^{2}+21x-9-4x^{3}+6x^{2}
Combine 15x and 6x to get 21x.
-4x^{2}+21x-9-4x^{3}
Combine -10x^{2} and 6x^{2} to get -4x^{2}.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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